please answer my question
Answers
Step-by-step explanation:
Let xy denote the two digit number so that x is in ten place and y is in unit place. Therefore,
The number is 10x + y and the sum of the digits is x + y
To find the number xy?
(10 x + y)/(x + y) = 4/1
Cross-multiplying,
10 x + y = 4 x + 4 y
Transpose 4x to LHS and y to LHS and get
6 x = 3 y
Dividing through by 3,
2x = y…………………………..…………….(1)
It is given in the question that digit in unit place is 3 more than the digit in tens place. This gives us the second equation
y = x + 3…………………………………..…(2)
Substituting for y = x+ 3 from (2) into (1),
2x = x+3
Transposing x to left,
x = 3
Putting x= 3 in (2),
y = 6
Using the above values of x and y,
The number is 36 (Proved)
Verification:
Digit in unit place is 6 . Digit in ten place = 3. 6 is more than 3 by 3.
Sum of the digits in the number = 6+3 = 9
The number represented by xy = 10x3 + 6 =36
Sum of ratio of the number to sum of digits in number 36 = 36/9 = 4/1
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